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NEAR FIELD LOCALIZATION OF MOVING SOURCES WITH REM ALGORITHMS

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Abstract (2. Language): 
In this paper, we present the problem of joint tracking of the direction of arrival (DOA) and range parameters of moving sources in the near field of an antenna array with two Expectation- Maximization (EM) based recursive algorithms. The main characteristic of the first Recursive EM (REM) approach is to include computation of the gradient of the log-likelihood function and some form of the complete data Fisher information matrix. Compared to first REM approach, the second one utilizes the stochastic approximation of approximate conditional expectation of the complete data sufficient statistics. The proposed recursive algorithms in this work assume that the parameters of interest are described by a linear polynomial model. This paper concludes by presenting the simulation results of the suggested algorithms in order to illustrate the computational effectiveness of the both algorithms.
769-779

REFERENCES

References: 

[1] H. Jiang, S.X. Wang, H.J. Lu, “A Novel
Higher Order Cyclic Cumulant Based Direction
Finding Algorithm In Multipath” Signal
Processing, Procs. ICSP '04. 7th Int. Conf., Vol:
1, pp. 411-414, 31 Aug.-4 Sept. 2004.
[2] M.J.D. Rendas, J.M.F. Moura, “Path
Resolution By Coherent Averaging: Trading
Spatial And Temporal Degrees Of Freedom”,
ICASSP-88, Int. Conf. Acou., Speech, Sig.Proc.,
Vol: 5, pp. 2626-2629, 11-14 April 1988.
[3] N. Kabaoğlu, H.A. Çırpan, S. Paker,
“Unconditional Maximum Likelihood Approach
For Localization Of Near-Field Sources In 3D
Space”, Proce. of the Fourth IEEE International
Symp. on Sig. Processing and Inf. Tech., pp. 233-
237, 18-21 Dec., 2004.
[4] A.P. Dempster, N. Laird, D.B. Rubin,
“Maximum Likelihood From Incomplete Data
Via The EM Algorithm”, J. Roy. Statist. Soc.
Ser. B, Vol: 39, No. 1, pp. 1-38, 1977.
[5] D.M. Titterington, “Recursive Parameter
Estimation Using Incomplete Data” J. Roy. Stat.
Soc. Ser. B, Vol: 46, No. 2, pp. 257-267, 1984.
[6] M.I. Miller, D.R. Fuhrmann, “Maximum-
Likelihood Narrow-Band Direction Finding And
The EM Algorithm”, IEEE Trans. Acou. Speech,
Sig. Proc., Vol: 38, pp. 1560-1577, Sept. 1990.
[7] E. Çekli, H.A. Çırpan, “Unconditional
Maximum Likelihood Approach for Localization
of Near-Field Sources: Algorithm and
Performance Analysis”, AEÜ Int. Journal Elect.
and Comm., Vol. 57, No. 1, pp. 9-15, 2003.
[8] N. Kabaoglu, H.A. Cirpan, S. Paker, “EM
Based Stochastic Maximum Likelihood
Approach for Localization of Near-Field Sources
in 3-D,” Frequenz, Journal Telecommunications,
Vol. 58, pp. 178-184, 7-8/2004.
[9] J.A. Olague, D.C. Rosales, J.L. Rivera,
“Efficiency Evaluation Of The Unconditional
Maximum Likelihood Estimator For Near-Field
DOA Estimation” ETRI Journal, Vol: 28, No. 6,
pp. 761-769, Dec. 2006.
[10] L. Frenkel, M. Feder, “Recursive
Expectation-Maximization (EM) Algorithms For
Time Varying Parameters With Applications To
Multiple Target Tracking”, IEEE Trans. Signal
Proc., Vol: 47, No. 2, pp. 306-320, Feb. 1999.
[11] P. J. Chung, J. F. Böhme, A. O. Hero,
“Tracking Of Multiple Moving Sources Using
Recursive EM Algorithm”, EURASIP Journal on
Applied Signal Proces., No.1, 50-60., 2005
[12] O. Cappe, M. Charbit, E. Moulines,
“Recursive EM Algorithm With Applications To
DOA Estimation”, ICASSP Proc. IEEE Int. Conf.
Acoustics, Speech Signal Proc., 2006.
[13] G.E. Forsythe, M.A. Malcolm, C.B. Moler,
Computer Methods For Mathematical
Computations, Prentice Hall, 1976.
[14] A. Benveniste, M. M´etivier, P. Priouret,
“Adaptive Algorithms and Stochastic
Approximations”, Source Springer Applications
of Mathematics Series,
[15] P. Stoica, B. Ottersten, M. Viberg, and R.
L., Moses, “Maximum Likelihood Array
processing for stochastic Coherent Sources”,
IEEE Trans. Sig. Proc., Vol: 44, No. 1, Jan.,
1996
[16] M. Harrdt, “Efficient One-, Two, and
Multidimensional High-Resolution Array Signal
Processing”, Ph.D. dissertation, Technische
Universitat München, 1997.
[17] H. A. Çırpan, E. Çekli, “Deterministic
Maximum Likelihood Approach for Localization
of Near-Field Sources”, AEÜ Int. Journal
Electronics and Com., Vol: 56, No. 1, pp. 1-10,
2002.
[18] A.L. Swindlehurst and T. Kailath, “Azimuth
/ Elevation Direction Finding Using Regular
Array Geometries”, IEEE Trans. Acou. Speech,
and Sig. Proc., Vol: 29, pp. 145-156, Jan 1993.

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